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Finding the Fourth Proportional to 644.67, 968.22 and 481.86

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Solution

The fourth proportional to 644.67, 968.22 and 481.86 is: 723.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.67 : 968.22 = 481.86 : x
  2. Step 2: Convert to fraction form
    644.67/968.22 = 481.86/x
  3. Step 3: Cross multiply
    644.67x = 968.22 × 481.86
  4. Step 4: Simplify right side
    644.67x = 466,546.49
  5. Step 5: Solve for x
    x = 466,546.49/644.67
  6. Step 6: Final answer
    x = 723.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.